"It's going really well right now," Murray said. "I've gotten more interest of late. In fact, next week Kentucky is coming into see me."
The importance of a potential Kentucky offer is not lost on Murray.
"That was my school growing up and I'm not saying that I would commit there, but it would be a great opportunity," he said. "I'm just going to play my game and hope they like what they see."
His recruitment also figures to involve other elite programs, notably Arizona.
"Coach Stoudamire has come to watch me and he has always had good things to say," Murray said. "I don't have an offer from them or anything, but I know they are interested and we'll see where it goes from here."
In addition, you can expect the hometown Washington Huskies to be involved with Murray to the end.
"They're almost like family over there," Murray said. "I seriously know like everyone in the program. They have obviously had success and it's a little tougher right now, but coach will definitely get them back where they were."
Given the expected increase in recruiters' interest, Murray is going to take his time in search of the best college option possible.
"I know I can play and I think I'm going to have a chance to really show that here in the coming months," Murray said. "I feel like I'm a good run and jump athlete and I've put in so much over the months on my jump shot and ball handling.
"I think that is showing during the high school season, and I'm looking to continue that in the coming months."